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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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1122 · Feb 202019922001200920172026
45 results for warm-up

Warm-up improves training by adapting learning rate based on curvature.

problem Improving training efficiency in deep learning models.
method Introducing a curvature condition to explain warm-up, and showing empirically that it leads to faster convergence.
result Adapting learning rate based on curvature condition naturally induces warm-up-like schedule, leading to faster convergence.

Paper eliminates warm-up phase for PO in linear MDPs, achieving optimal regret.

problem Costly warm-up phase in PO algorithms for linear MDPs.
method Simple contraction mechanism replaces warm-up phase.
result Achieves rate-optimal regret with improved dependence on problem parameters.

Layer normalization placement affects training stability and warm-up stage necessity.

problem Training instability and the necessity of a learning rate warm-up stage in Transformers.
method Theoretical analysis and mean field theory to prove gradient behavior at initialization.
result Removing the warm-up stage for Pre-LN Transformers can achieve comparable results with less time and tuning.

DP-SGD can update fewer coordinates while maintaining privacy.

problem How to update fewer coordinates in DP-SGD without losing optimization signal.
method TP-TopK (Two-Phase TopK DP-SGD), a two-phase method for coordinate-sparse private training.
result Private training can update fewer coordinates without losing optimization signal, scaling noise with active dimension \(k\) instead of full dimension \(d\).

Paper optimizes MVE network convergence and regularization.

problem Optimizing Mean Variance Estimation networks for better performance.
method Presented two key insights: warm-up period for mean optimization and separate regularization of mean and variance.
result Warm-up period and separate regularization improve MVE network performance.

The paper shows how warming up the learning rate improves deep learning performance.

problem Improving deep learning performance through better handling of larger learning rates.
method Systematic experiments with SGD and Adam showing the benefits of warmup and different regimes of operation.
result Properly choosing ηextinitη_{ ext{init}} can eliminate the need for warmup and improve performance.

AdaScale SGD adapts learning rates for large-batch training efficiently.

problem Adapting learning rates for large-batch training to balance speed-ups and model quality.
method Adaptive learning rate adaptation based on gradient variance.
result AdaScale achieves reliable speed-ups for a wide range of batch sizes without degrading model quality.

We provide a differential cocycle model for elliptic cohomology with complex coefficients and use analytic methods to construct a cocycle representative for the Witten class in this language. Our motivation stems from the conjectural connection between 2-dimensional field theories and elliptic cohomology originally due…

2013-11-26abs ↗pdf ↗

The paper provides examples of geometric transitions in low dimensions.

problem Exploring geometric transitions between different types of structures in low dimensions.
method Explicit examples and computations of transitions from hyperbolic to Euclidean, spherical, and Anti-de Sitter structures.
result Details of elementary computations and techniques are provided to explain geometric transitions.

We prove that in CAT(0) spaces a quasi-geodesic is Morse if and only if it is contracting. Specifically, in our main theorem we prove that for γγ a quasi-geodesic in a CAT(0) space X, the following four statements are equivalent: (i) γγ is Morse, (ii) γγ is (b,c)--contracting, (iii), γγ is strongly contracting, and…

2011-12-19abs ↗pdf ↗

This work analyzes the statistical properties of adaptive gradient methods.

problem Lack of understanding of the statistical properties of adaptive gradient methods.
method Theoretical analyses and experiments on the variance of update magnitudes.
result The variance of update magnitudes is an increasing and bounded function of time, not diverging.

Variational Autoencoders are powerful models for unsupervised learning. However deep models with several layers of dependent stochastic variables are difficult to train which limits the improvements obtained using these highly expressive models. We propose a new inference model, the Ladder Variational Autoencoder, that…

2016-02-06abs ↗pdf ↗

SALSA automatically adjusts learning rates in stochastic gradient methods.

problem Automatic adjustment of learning rates in stochastic gradient methods.
method SALSA uses a line-search procedure to gradually increase the learning rate, then a statistical test to decrease it.
result SALSA matches the performance of best hand-tuned learning rate schedules in deep learning tasks.

Although exploration in reinforcement learning is well understood from a theoretical point of view, provably correct methods remain impractical. In this paper we study the interplay between exploration and approximation, what we call approximate exploration. Our main goal is to further our theoretical understanding of …

2018-08-29abs ↗pdf ↗

The paper extends gradient flow and relaxation studies to non-flat Riemannian manifolds.

problem Understanding gradient flows and relaxation in non-flat Riemannian manifolds.
method Developed a criterion for comparing relaxation along gradient descent curves using non-metricity tensor.
result Revealed a universal asymmetry: warming up is faster than cooling down.

New algorithm finds critical points in non-convex optimization with heavy-tailed gradients.

problem Non-convex stochastic optimization with heavy-tailed gradient estimates.
method Gradient clipping, momentum, and normalized gradient descent.
result High-probability convergence to critical points with best-known rates.

VCoTTA uses variational Bayesian methods to adapt models under continuous domain shifts.

problem Error accumulation in continual test-time adaptation.
method VCoTTA employs variational Bayesian techniques to update a Bayesian Neural Network (BNN) during testing, combining priors from source and teacher models.
result VCoTTA effectively mitigates error accumulation in CTTA, as shown by experimental results on three datasets.

Optimizes neural network training by dynamically updating Tucker decomposition ranks.

problem Redundant parameters in neural network architectures.
method Geometry-aware training of factorized layers in tensor Tucker format.
result Optimal locally approximating the original dynamics without initial rank knowledge.

Paper proposes EEIPU, a memoization-aware BO algorithm to reduce hyperparameter tuning costs.

problem High costs in GPU-days for training and fine-tuning language models.
method Memoization-aware Bayesian Optimization (EEIPU) algorithm in tandem with pipeline caching.
result EEIPU produces 103% more hyperparameter candidates and 108% more validation metric improvement.

Proposes efficient stochastic algorithms for optimizing NDCG with provable convergence guarantees.

problem Efficient and provable stochastic methods for maximizing NDCG in deep learning models.
method Formulates novel compositional optimization problems, develops efficient stochastic algorithms with provable convergence guarantees, and proposes practical strategies.
result Stochastic algorithms with provable convergence guarantees for optimizing NDCG and its top-KK variant.

Improves neural network performance by dynamically adjusting model weights based on source reliability.

problem Training neural networks on data from unreliable sources leads to poor performance.
method Dynamic re-weighting strategy using likelihood tempering to adjust model weights based on estimated source reliability.
result Significant improvement in model performance when trained on mixtures of reliable and unreliable data sources.

The large kk asymptotics (perturbation series) for integrals of the form FμeikS\int_{\cal F}μe^{i k S}, where μμ is a smooth top form and SS is a smooth function on a manifold F{\cal F}, both of which are invariant under the action of a symmetry group G{\cal G}, may be computed using the stationary phase approximation…

1995-11-27abs ↗pdf ↗

Dual model combines HMM and neural networks for energy trading during volatile periods.

problem Optimizing energy trading performance during market volatility.
method Integrates Hidden Markov Models and neural networks with Black-Litterman portfolio optimization.
result Achieved 83% return with Sharpe ratio 0.77 during COVID period.

We address the cold start problem in recommendation systems assuming no contextual information is available neither about users, nor items. We consider the case in which we only have access to a set of ratings of items by users. Most of the existing works consider a batch setting, and use cross-validation to tune param…

2014-07-10abs ↗pdf ↗

A new TS-SA method alleviates non-stationarity in TS algorithms for bandits.

problem Non-stationarity in existing TS algorithms for multi-armed bandits.
method Integrates stochastic approximation within TS framework, using Langevin Monte Carlo and SA steps.
result Establishes near-optimal regret bounds for TS-SA, with simplified analysis.

VBS improves sampling efficiency in cosmological data analysis.

problem High dimensionality of cosmological parameter space makes sampling computationally challenging.
method Developed a hybrid scheme combining variational self-boosted sampling with Hamiltonian Monte Carlo.
result VBS generates better quality samples and reduces auto-correlation length by a factor of 10-50.

Study decision boundaries using heat diffusion and probabilistic techniques.

problem Understanding the geometry of decision boundaries in machine learning.
method Using Brownian motion and probabilistic techniques to analyze decision boundaries.
result Decision boundaries exhibit persistent 'wiggly and fuzzy' regions, even under adversarial attacks.

More and more companies have deployed machine learning (ML) clusters, where deep learning (DL) models are trained for providing various AI-driven services. Efficient resource scheduling is essential for maximal utilization of expensive DL clusters. Existing cluster schedulers either are agnostic to ML workload characte…

2019-09-13abs ↗pdf ↗

A novel framework IMBoost improves outlier detection by leveraging the inlier memorization effect.

problem Challenges in unsupervised outlier detection, especially when inliers and outliers are not well-separated or form dense clusters.
method IMBoost framework that incorporates active learning to selectively acquire informative labels and explicitly reinforce the inlier memorization effect.
result IMBoost significantly outperforms state-of-the-art active outlier detection methods and requires less computational cost.

Study on multi-head softmax attention dynamics for in-context learning.

problem Understanding and optimizing multi-head softmax attention models for multi-task linear regression.
method Gradient flow analysis and spectral mapping technique.
result Gradient flow converges to optimal multi-head softmax attention model, with task allocation emerging during training.

Study of repeated principal-agent bandit game with self-interested and exploratory learning agents.

problem Interaction between principal and agent in unknown environments with learning and exploration behaviors.
method Developed algorithms for self-interested and exploratory learning agents with bandit feedback, achieving regret bounds.
result Achieved O~(T2/3)\widetilde{O}(T^{2/3}) regret bound for exploratory learning agent in i.i.d. reward setup.

Survival analysis of 832,941 Solana token launches shows a significant decline in graduation rate.

problem Analyzing the survival rate of Solana token launches and identifying factors affecting graduation.
method Survival analysis using Kaplan-Meier and Cox proportional-hazards models.
result The survival rate of Solana token launches has declined significantly, with a 3.18x decrease from previous rates.

A new framework for selecting base classes in multi-class classification boosts accuracy.

problem Selecting the base class in multi-class classification to improve accuracy.
method Introduces a unified framework with parameters (s,g,w)(s,g,w) to search for the base class at each boosting iteration, improving computational efficiency.
result Our framework can achieve better test accuracy than the exhaustive search strategy, providing a robust and reliable scheme.

New method tightens federated probe-logit distillation rates under varying bandwidths.

problem Estimating conditional distributions in federated learning with heterogeneous bandwidth constraints.
method Developed a new federated probe-logit distillation (FPLD) method with optimal allocation for varying bandwidths.
result Achieved matching lower and upper bounds for the minimax rate under heterogeneous bandwidths.